Generalized Scheme for Splitting Arbitrary 2-Qubit State with Three 2-Qubit Entangled States

Abstract

A generalized tripartite scheme is proposed for splitting an arbitrary 2-qubit pure state by utilizing three 2-qubit entangled states as quantum channels. In the scheme the splitter averagely partitions its unknown 2-qubit state between two agents and either agent can recover the unknown state in a probabilistic manner with the other agent’s assistance. 32 unitary operations used possibly and the total success probability of the scheme are worked out. Moreover, some discussions are made, especially on the relation between the success probability and the entanglements in the quantum channels.